Pricing and Lot sizing of a Decaying item under Group Dispatching with Time-dependent Demand and Decay Rates

Document Type : Article

Authors

1 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

2 Department of Industrial Engineering, Islamic, Azad University, South Tehran Branch

Abstract

Determining appropriate inventory and pricing policies is an important issue in scientific and industrial researches. Here an inventory control model of a decaying item with zero lead time is studied. Two mathematical models under different assumptions are developed.In the first model deterioration rate is time-dependent and demand rate is price sensitive while in the second model deterioration rate is constant and demand rate is time- and price-dependent. Aim of this research is optimizing total cost by deriving decision variables such as dispatch cycle length, order quantity and wholesale price. To optimize the total cost a shipment group dispatching policy is used.

Keywords

Main Subjects


References
1. Cetinkaya, S. and Lee, C.Y. \Stock replenishment and
shipment scheduling for vendor-managed inventory
systems", Management Science, 46(2), pp. 217-232
(2000).
2. Whitin, T. \Inventory control and price theory",
Management Science, 2, pp. 61-68 (1955).
3. Chen, F.Y., Wang, T., and Xu, T.Z. \Integrated
inventory replenishment and temporal shipment consolidation:
A comparison of quantity-based and timebased
models", Annals of Operations Research, 135,
pp. 197-210 (2005).
4. Ray, S., Song, Y., and Verma, M. \Comparison of
two periodic review models for stochastic and pricesensitive
demand environment", International Journal
of Production Economics, 128, pp. 209-222 (2010).
5. Huang, Y., Huang, G.Q., and Newman, S.T. \Coordinating
pricing and inventory decisions in a multi-level
supply chain: A game theoretic approach", Transportation
Research Part E, 47, pp. 115-129 (2011).
6. Polatoglu, L.H. \Optimal order quantity and pricing
decisions in single-period inventory systems", International
Journal of Production Economics, 23, pp. 175-
185 (1991).
7. Zhu, S.X. \Joint pricing and inventory replenishment
decisions with returns and expediting", European
Journal of Operation Research, 216, pp. 105-112
(2012).
8. You, P.S., Ikuta, S., and Hsieh, Y.C. \Optimal ordering
and pricing policy for an inventory system with
trial periods", Applied Mathematical Modeling, 34, pp.
3179-3188 (2012).
9. Su, Y. and Geunes, J. \Price promotions, operations
cost, and pro t in a two-stage supply chain", Omega,
40, pp. 891-905 (2012).
10. Mutlu, F. and Cetinkaya, S. \Pricing decisions in a
carrier-retailer channel under price-sensitive demand
and contract-carriage with common-carriage option",
Transportation Research Part E, 51, pp. 28-40 (2013).
11. Maddah, B. and Bish, E.K. \Joint pricing, assortment,
and inventory decisions for a retailer's product-line",
Naval Research Logistics, 54, pp. 315-330 (2007).
12. Maity, K. and Maiti, M. \A numerical approach to
a multi-objective optimal inventory control problem
for deteriorating multi-items under fuzzy in
ation
and discounting", Computer and Mathematics with
Applications, 55, pp. 1794-1807 (2008).
13. Yu, Y., Wang, Z., and Liang, L. \A vendor managed
inventory supply chain with deteriorating raw materials
and products", International Journal of Production
Economics, 136, pp. 266-274 (2012).
14. Hongjie, L., Ruxian, L., Zhigao, L., and Ruijiang, W.
\Study on the inventory control of deteriorating items
under VMI model based on bi-level programming",
Expert Systems with Application, 38, pp. 9287-9295
(2011).
15. Mahata, G.C. \An EPQ-based inventory model for
exponentially deteriorating items under retailer partial
trade credit policy in supply chain", Expert Systems
with Application, 39, pp. 3537-3550 (2012).
16. Taleizadeh, A.A. and Nematollahi, M. \An inventory
control problem for deteriorating items with backordering
and nancial considerations", Applied Mathematical
Modeling, 38(1), pp. 93-109 (2013a).
17. Lee, C.F. and Chung, C.P. \An inventory model for
deteriorating items in a supply chain with system
dynamics analysis", Procedia-Social and Behavioral
Sciences, 40, pp. 41-51 (2012).
18. Cetinkaya, S. and Bookbinder, J.H. \Stochastic models
for the dispatch of consolidated shipments", Transportation
Research-Part B, 37, pp. 747-768 (2003).
A.A. Taleizadeh and A. Rasuli-Baghban/Scientia Iranica, Transactions E: Industrial Engineering 25 (2018) 1656{1670 1669
19. Cetinkaya, S., Mutlu, F., and Lee, C.Y. \A comparison
of outbound dispatch policies for integrated inventory
and transportation decisions", European Journal of
Operation Research, 171, pp. 1094-1112 (2006).
20. Wong, W.H., Lawrence, C.L., and Hui, Y.V. \Airfreight
forwarder shipment planning: A mixed 0-
1 model and managerial issues in the integration
and consolidation of shipments", European Journal of
Operation Research, 193, pp. 86-97 (2009).
21. Marklund, J. \Inventory control in divergent supply
chains with time-based dispatching and shipment consolidation",
Naval Research Logistics, 58, pp. 59-71
(2010).
22. Howard, C. and Marklund, J. \Evaluation of stock
allocation policies in a divergent inventory system
with shipment consolidation", European Journal of
Operation Research, 211, pp. 298-309 (2011).
23. Taleizadeh, A.A., Moghadasi, H., Niaki, S.T.A., and
Eftekhari, A.K. \An EOQ-joint replenishment policy
to supply expensive imported raw materials with payment
in advance", Journal of Applied Science, 8(23),
pp. 4263-4273 (2009).
24. Taleizadeh, A.A., Niaki, S.T.A., and Naja , A.A.
\Multi product single machine production system with
stochastic scraped production rate, partial back ordering
and service level constraint", Journal of Computational
and Applied Mathematics, 233(8), pp. 1834-
1849 (2010a).
25. Taleizadeh, A.A., Naja , A.A., and Niaki, S.T.A.
\Multi product EPQ model with scraped items and
limited production capacity", Scientia Iranica, Transaction
E, 17(1), pp. 58-69 (2010b).
26. Ulku, M.A. and Bookbinder, J.H. \Modelling shipment
consolidation and pricing decisions for a manufacturerdistributor",
International Journal of Revenue Management,
6(1) (2012).
27. Sajadieh, M.S. and Jokar, M.R.A. \Optimizing shipment,
ordering and pricing policies in a two-stage supply
chain with price-sensitive demand", Transportation
Research - Part E, 45, pp. 564-571 (2009).
28. Olsson, F. \Analysis of inventory policies for perishable
items with xed leadtimes and lifetimes", Annals of
Operations Research, 217(1), pp. 399-423 (2014).
29. Herbon, A., Levner, E., and Cheng, T.C.E. \Perishable
inventory management with dynamic pricing
using time-temperature indicators linked to automatic
detecting devices", International Journal of Production
Economics, 147, pp. 605-613 (2014).
30. Taleizadeh, A.A. \An economic order quantity model
with consecutive payments for deteriorating items",
Applied Mathematical Modeling, 38, pp. 5357-5366
(2014a).
31. Taleizadeh, A.A. \An economic order quantity model
with partial backordering and advance payments for
an evaporating item", International Journal of Production
Economic, 155, pp. 185-193 (2014b).
32. Diabat, A., Abdallah, T., and Le, T. \A hybrid tabu
search based heuristic for the periodic distribution
inventory problem with perishable goods", Annals of
Operations Research, 242(2), pp. 1-26 (2014).
33. Lu, L., Zhang, J., and Tang, W. \Optimal dynamic
pricing and replenishment policy for perishable
items with inventory-level-dependent demand", International
Journal of Systems Science, 47(6), pp. 1480-
1494 (2016).
34. Gallego, G. and Hu, M., Dynamic Pricing of Perishable
Assets under Competition Management Science,
60(5), pp. 1241-1259 (2014) .
35. Tayal, S.H., Singh, S.R., and Sharma, R. \An integrated
production inventory model for perishable
products with trade credit period and investment
in preservation technology", International Journal of
Mathematics in Operational Research, 8(2), pp. 137-
163 (2016).
36. Taleizadeh, A.A., Satarian, F., and Jamil, A. \Optimal
multi-discount selling prices schedule for deteriorating
product", Scientia Iranica, 22(6), pp. 2595-2603
(2015).
37. Maleki Vishkaei, B., Pasandideh, S.H.R., and
Farhangi, M. \The 100% screening economic order
quantity model under shortage and delay in payment",
Scientia Iranica, 21(6), pp. 2429-2435 (2015).
38. Taleizadeh, A.A., Niaki, S.T.A., and Aryanezhad,
M.B. \Replenish-up-to multi chance-constraint inventory
control system with stochastic period lengths and
total discount under fuzzy purchasing price and holding
costs", International Journal of System Sciences,
41(10), pp. 1187-1200 (2010c).
39. Taleizadeh, A.A.,Wee, H.M., and Sadjadi, S.J. \Multiproduct
production quantity model with repair failure
and partial back-ordering", Computers and Industrial
Engineering, 59(1), pp. 45-54 (2010d).
40. Taleizadeh, A.A., Niaki, S.T.A., Aryanezhad, M.B.,
and Fallah-Tafti, A. \A genetic algorithm to optimize
multi-product multi-constraint inventory control systems
with stochastic replenishments and discount", International
Journal of Advanced Manufacturing Technology,
51, (1-4), pp. 311-323 (2010e).
41. Taleizadeh, A.A., Barzinpour, F., and Wee, H.M.
\Meta-heuristic algorithms to solve the fuzzy single period
problem", Mathematical and Computer Modeling,
54(5-6), pp. 1273-1285 (2011f).
42. Taleizadeh, A.A., Cardenas-Barron, L.E., Biabani, J.,
and Nikousokhan, R. \Multi products single machine
EPQ model with immediate rework process", International
Journal of Industrial Engineering Computations,
3(2), pp. 93-102 (2012a).
43. Taleizadeh, A.A., Pentico, D.W., Aryanezhad, M.B.,
and Ghoreyshi, M. \An economic order quantity model
with partial backordering and a special sale price",
European Journal of Operational Research, 221(3), pp.
571-583 (2012b).
1670 A.A. Taleizadeh and A. Rasuli-Baghban/Scientia Iranica, Transactions E: Industrial Engineering 25 (2018) 1656{1670
44. Taleizadeh, A.A., Niaki, S.T., Aryanezhad, M.B., and
Sha i, N. \A hybrid method of fuzzy simulation and
genetic algorithm to optimize multi-product singleconstraint
inventory control systems with stochastic
replenishments and fuzzy-demand", Information Science,
220(20), pp. 425-441 (2013b).
45. Taleizadeh, A.A., Pentico, D.W., Jabalameli, M.S.,
and Aryanezhad, M.B. \An economic order quantity
model with multiple partial prepayments and partial
backordering", Mathematical and Computer Modeling,
57(3-4), pp. 311-323 (2013c).
46. Taleizadeh, A.A., Mohammadi, B., Cardenas-Barron,
L.E., and Samimi, H. \An EOQ model for perishable
product with special sale and shortage", International
Journal of Production Economics, 145(1), pp. 318-338
(2013d).
47. Taleizadeh, A.A., Jalali-Naini, S.G.H., Wee, H.M., and
Kuo, T.C. \An imperfect, multi product production
system with rework", Scientia Iranica, 20(3), pp. 811-
823 (2013e).
48. Taleizadeh, A.A. and Pentico, D.W. \An economic
order quantity model with known price increase and
partial backordering", European Journal of Operational
Research, 28(3), pp. 516-525 (2013f).
49. Teimoury, R. and Kazemi, S.M.M. \An integrated
pricing and inventory model for deteriorating products
in a two stage supply chain under replacement and
shortage", Scientia Iranica, 24(1), pp. 342-354 (2017).