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Inventory models with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages

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  • K. Skouri
  • I. Konstantaras
  • S. Manna
  • K. Chaudhuri

Abstract

Manna and Chaudhuri (Eur. J. Oper. Res. 171(2):557–566, 2006 ) presented a production-inventory system for deteriorating items with demand rate being a linearly ramp type function of time and production rate being proportional to the demand rate. The two models without shortages and with shortages were discussed. Both models were studied assuming that the time point at which the demand is stabilized occurs before the production stopping time. In this paper, we complete this model by considering that: (a) for the model with no shortages; the demand rate is stabilized after the production stopping time and (b) for the model with shortages; the demand rate is stabilized after the production stopping time or after the time when the inventory level reaches zero or after the production restarting time. In addition, we extend the work of Manna and Chaudhuri (Eur. J. Oper. Res. 171(2):557–566, 2006 ) assuming a general function of time for the variable part of the demand rate. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • K. Skouri & I. Konstantaras & S. Manna & K. Chaudhuri, 2011. "Inventory models with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages," Annals of Operations Research, Springer, vol. 191(1), pages 73-95, November.
    • Handle: RePEc:spr:annopr:v:191:y:2011:i:1:p:73-95:10.1007/s10479-011-0984-2
    DOI: 10.1007/s10479-011-0984-2
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    References listed on IDEAS

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    1. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    2. Manna, S.K. & Chaudhuri, K.S., 2006. "An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages," European Journal of Operational Research, Elsevier, vol. 171(2), pages 557-566, June.
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    6. Skouri, K. & Konstantaras, I. & Papachristos, S. & Ganas, I., 2009. "Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate," European Journal of Operational Research, Elsevier, vol. 192(1), pages 79-92, January.
    7. He, Yong & Wang, Shou-Yang & Lai, K.K., 2010. "An optimal production-inventory model for deteriorating items with multiple-market demand," European Journal of Operational Research, Elsevier, vol. 203(3), pages 593-600, June.
    8. Deng, Peter Shaohua & Lin, Robert H.-J. & Chu, Peter, 2007. "A note on the inventory models for deteriorating items with ramp type demand rate," European Journal of Operational Research, Elsevier, vol. 178(1), pages 112-120, April.
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    2. Biswajit Sarkar & Sharmila Saren & Leopoldo Cárdenas-Barrón, 2015. "An inventory model with trade-credit policy and variable deterioration for fixed lifetime products," Annals of Operations Research, Springer, vol. 229(1), pages 677-702, June.
    3. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    4. Maryam Ghoreishi & Gerhard-Wilhelm Weber & Abolfazl Mirzazadeh, 2015. "An inventory model for non-instantaneous deteriorating items with partial backlogging, permissible delay in payments, inflation- and selling price-dependent demand and customer returns," Annals of Operations Research, Springer, vol. 226(1), pages 221-238, March.
    5. Krishna Prasad & Bani Mukherjee, 2016. "Optimal inventory model under stock and time dependent demand for time varying deterioration rate with shortages," Annals of Operations Research, Springer, vol. 243(1), pages 323-334, August.
    6. Umakanta Mishra & Leopoldo Eduardo Cárdenas-Barrón & Sunil Tiwari & Ali Akbar Shaikh & Gerardo Treviño-Garza, 2017. "An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment," Annals of Operations Research, Springer, vol. 254(1), pages 165-190, July.
    7. Hui-Ling Yang & Chun-Tao Chang & Yao-Ting Tseng, 2024. "Optimal Replenishment Strategy for a High-Tech Product Demand with Non-Instantaneous Deterioration under an Advance-Cash-Credit Payment Scheme by a Discounted Cash-Flow Analysis," Mathematics, MDPI, vol. 12(19), pages 1-25, October.
    8. Pal, Shilpi & Mahapatra, G.S. & Samanta, G.P., 2015. "A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness," Economic Modelling, Elsevier, vol. 46(C), pages 334-345.
    9. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    10. Pal, Shilpi & Mahapatra, G.S. & Samanta, G.P., 2014. "An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment," International Journal of Production Economics, Elsevier, vol. 156(C), pages 159-166.
    11. Naoufel Cheikhrouhou & Biswajit Sarkar & Baishakhi Ganguly & Asif Iqbal Malik & Rafael Batista & Young Hae Lee, 2018. "Optimization of sample size and order size in an inventory model with quality inspection and return of defective items," Annals of Operations Research, Springer, vol. 271(2), pages 445-467, December.

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