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An integrated imperfect production system with advertisement dependent demand using branch and bound technique

Author

Listed:
  • Barun Khara

    (Vidyasagar University)

  • Jayanta Kumar Dey

    (Mahishadal Raj College)

  • Shyamal Kumar Mondal

    (Vidyasagar University)

Abstract

This paper develops an integrated imperfect production-inventory system consisting of a retailer and a manufacturer who produces breakable items. As breakable items are very sensitive to transport, in this paper, to stimulate the retailer, the manufacturer offers (1) free transportation subject to the condition that the retailer must have to order a minimum replenishment quantity specified by the manufacturer and (2) a credit period depending on the replenishment quantity. Moreover, malfunctioning of the production system increases due to several kinds of problem and consequently it produces a mixture of perfect and imperfect quality items. So, to maintain the reliability of the production system, development cost has been incorporated. Also to aware the customer about the reliability of the production system, the manufacturer has paid attention to give a constant amount of advertisement regularly during his/her production period. Henceforth, the advertisement dependent demand has been considered here. Under such circumstances, an integrated profit function has been developed and solved by branch and bound technique to obtain the optimum values of the system. From numerical studies, it is revealed that in case of incorporation of the advertisement, the retailer’s average profit, the manufacturer’s average profit and the average integrated profit are higher than that in the case without advertisement.

Suggested Citation

  • Barun Khara & Jayanta Kumar Dey & Shyamal Kumar Mondal, 2021. "An integrated imperfect production system with advertisement dependent demand using branch and bound technique," Flexible Services and Manufacturing Journal, Springer, vol. 33(2), pages 508-546, June.
    • Handle: RePEc:spr:flsman:v:33:y:2021:i:2:d:10.1007_s10696-020-09377-5
    DOI: 10.1007/s10696-020-09377-5
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    References listed on IDEAS

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    1. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Goh, Mark & Shaikh, Ali Akbar, 2018. "Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain," International Journal of Production Economics, Elsevier, vol. 200(C), pages 16-36.
    2. Sarkar, Biswajit & Saren, Sharmila, 2016. "Product inspection policy for an imperfect production system with inspection errors and warranty cost," European Journal of Operational Research, Elsevier, vol. 248(1), pages 263-271.
    3. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    4. Agrawal, Vipul & Chao, Xiuli & Seshadri, Sridhar, 2004. "Dynamic balancing of inventory in supply chains," European Journal of Operational Research, Elsevier, vol. 159(2), pages 296-317, December.
    5. Gérard P. Cachon & Paul H. Zipkin, 1999. "Competitive and Cooperative Inventory Policies in a Two-Stage Supply Chain," Management Science, INFORMS, vol. 45(7), pages 936-953, July.
    6. Chang Wook Kang & Misbah Ullah & Biswajit Sarkar & Iftikhar Hussain & Rehman Akhtar, 2017. "Impact of random defective rate on lot size focusing work-in-process inventory in manufacturing system," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1748-1766, March.
    7. Lee, Sunghee & Kim, Daeki, 2014. "An optimal policy for a single-vendor single-buyer integrated production–distribution model with both deteriorating and defective items," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 161-170.
    8. Biswajit Sarkar, 2016. "Supply Chain Coordination with Variable Backorder, Inspections, and Discount Policy for Fixed Lifetime Products," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-14, February.
    9. Arunava Majumder & Rekha Guchhait & Biswajit Sarkar, 2017. "Manufacturing quality improvement and setup cost reduction in a vendor-buyer supply chain model," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 11(5), pages 588-612.
    10. M Ben-Daya & M Hariga, 2000. "Economic lot scheduling problem with imperfect production processes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(7), pages 875-881, July.
    11. Sarkar, Biswajit & Moon, Ilkyeong, 2014. "Improved quality, setup cost reduction, and variable backorder costs in an imperfect production process," International Journal of Production Economics, Elsevier, vol. 155(C), pages 204-213.
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