Skip to main content
Log in

Inventory management under working capital constraints

  • Published:
Journal of Simulation

Abstract

The objective of inventory management models is to determine effective policies for managing the trade-off between customer satisfaction and the cost of service. Over the years, these models have become increasingly sophisticated, incorporating many complicating factors that are relevant in practice such as demand uncertainty, finite supplier capacity, and yield losses. Curiously absent from these models are the financial constraints imposed by working capital requirements. In practice, however, many firms are self-financing, i.e., their ability to replenish their own inventories is directly affected not only by their current inventory levels, but also by their receivables (trade credit they have extended to their customers) and payables (trade credit they have received from their supplier). Such constraints have gained added significance during the lingering economic crisis, which has made external financing increasingly difficult to secure. In this paper, we analyze the materials management practices of a self-financing firm whose replenishment decisions are constrained by cash flows, which are updated periodically following purchases and sales in each period. In particular, we investigate through simulation the interaction between the financial and operational parameters as well as the impact of working capital constraints on the long-run average costs per period. Our study shows that arbitrarily imposed constraints on the working capital not only fail to prevent violations, but also significantly distort operational decisions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Figure 1
Figure 2
Figure 3
Figure 4

Similar content being viewed by others

References

  • Archibald TW, Thomas LC, Betts JM and Johnston RB (2002). Should start-up companies be cautious? Inventory policies which maximize survival probabilities. Management Science 48(9): 1161–1174.

    Article  Google Scholar 

  • Babich V and Sobel MJ (2004). Pre-IPO operational and financial decisions. Management Science 50(7): 935–948.

    Article  Google Scholar 

  • Birge JR (2000). Option methods for incorporating risk into linear capacity planning models. Manufacturing and Service Operations Management 2(1): 19–31.

    Article  Google Scholar 

  • Birge JR and Zhang RQ (1999). Risk neutral option pricing methods for adjusting constrained cash flows. Engineering Economist 44(1): 36–49.

    Article  Google Scholar 

  • Boissay F and Gropp R (2013). Trade credit defaults and liquidity provision by firms. Review of Finance 17: 1853–1894.

    Article  Google Scholar 

  • Boyabatli O and Toktay LB (2011). Stochastic capacity investment and flexible versus dedicated technology choice in imperfect capital markets. Management Science 57(12): 1–18.

    Article  Google Scholar 

  • Boyabatli O, Leng T and Toktay LB (2015). The impact of budget constraints on flexible versus dedicated technology choice. Management Science 62(1): 225–244.

    Google Scholar 

  • Buzacott JA and Zhang RQ (2004). Inventory management with asset-based financing. Management Science 50(9): 1274–1292.

    Article  Google Scholar 

  • Chao X, Chen J and Wang S (2008). Dynamic inventory management with cash flow constraints. Naval Research Logistics 55: 758–768.

    Article  Google Scholar 

  • Ciarallo FW, Akella R and Morton TE (1994). A periodic review, production planning model with uncertain capacity and uncertain demand—optimality of extended myopic policies. Management Science 40(3): 320–332.

    Article  Google Scholar 

  • Cuñat V (2007). Trade credit: Suppliers as debt collectors and insurance providers. The Review of Financial Studies 20(2): 491–527.

    Article  Google Scholar 

  • Dada M and Hu Q (2008). Financing newsvendor inventory. Operations Research Letters 36: 569–573.

    Article  Google Scholar 

  • Glasserman P and Tayur S (1995). Sensitivity analysis for base stock levels in multi-echelon production-inventory systems. Management Science 41(2): 263–281.

    Article  Google Scholar 

  • Güllü R (1998). Base stock policies for production/inventory problems with uncertain capacity levels. European Journal of Operational Research 105: 43–51.

    Article  Google Scholar 

  • Harris FW (1913). How many parts to make at once. Factory, The Magazine of Management 10(2): 135–136.

    Google Scholar 

  • Hawawini G and Viallet C (2007). Finance for Executives. Thomson: Mason, OH.

  • Hu QJ and Sobel MJ (2008). Capital structure and inventory management. Technical Memorandum 801R, Department of Operations, Weatherhead School of Management, Case Western Reserve University.

  • Kaiser K and Young SD (2009). Need cash? Look inside your company. Harvard Business Review 5(4): 3–14.

    Google Scholar 

  • Kallberg JG, White RW and Ziemba WT (1982). Short term financial planning under uncertainty. Management Science 28(6): 670–682.

    Article  Google Scholar 

  • Kouvelis P and Zhao W (2012). Financing the newsvendor: Supplier versus bank, and the structure of optimal trade credit contracts. Operations Research 60(3): 566–580.

    Article  Google Scholar 

  • Law AM (2014) Simulation Modeling and Analysis, 5th edin. McGraw-Hill: New York.

  • Lederer PJ and Singhal VR (1994). The effect of financing decisions on the economic evaluation of flexible manufacturing systems. International Journal on Flexible Manufacturing Systems 5(4): 269–302.

    Google Scholar 

  • Li L, Shubik M and Sobel MJ (2013). Control of dividends, capital subscriptions, and physical inventories. Management Science 59(5): 1107–1124.

    Article  Google Scholar 

  • Luo W and Shang K (2013). Managing inventory for entrepreneurial firms with trade credits. Working paper, Fuqua School of Business.

  • Mao JCT (1968). Application of linear programming to short-term financing decisions. Engineering Economist 13: 221–241.

    Article  Google Scholar 

  • Modigliani F and Miller MH (1958). The cost of capital, corporation finance and the theory of investment. American Economic Review 48(3): 261–297.

    Google Scholar 

  • Pass C and Pike R (1984) An overview of working capital management and corporate financing. Management Finance 10(3): 1–11.

    Google Scholar 

  • Pierson M and van Ryzin G (2010). Frogtek: Mobile Technology for Micro-retailing. Case Study, Columbia Business School.

  • Porteus EL (1972). Equivalent formulations of the stochastic cash balance problem. Management Science 19(3): 250–253.

    Article  Google Scholar 

  • Porteus EL (2002). Foundations of Stochastic Inventory Theory. Stanford University Press: Stanford.

  • Rosenblatt MJ (1981). Multi-item inventory system with budgetary constraint: A comparison between the Lagrangian and the fixed cycle approach. International Journal of Production Research 19(4): 331–339.

    Article  Google Scholar 

  • Song J and Tong J (2012). A new accounting framework for supply chain inventory finance. Working paper, Duke University.

  • Wang Y and Gerchak Y (1996). Periodic review production models with variable capacity, random yield, and uncertain demand. Management Science 42: 130–137.

    Article  Google Scholar 

  • Womack JP and Jones DT (2005). Lean consumption. Harvard Business Review 83(3): 58–68.

    Google Scholar 

  • Yang SA and Birge JR (2013). How inventory is (should be) financed: Trade credit in supply chains with demand uncertainty and costs of financial distress. Working paper, University of Chicago Booth School of Business.

  • Yücesan E (1993). Randomization tests for initialization bias in simulation output. Naval Research Logistics 40(5): 643–664.

    Article  Google Scholar 

Download references

Acknowledgments

This work has been completed while the first author was working as a post-doctoral fellow at INSEAD whose financial support is gratefully acknowledged. We also thank the editors and the reviewers for their detailed comments that helped us in producing a better manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E Yücesan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bendavid, I., Herer, Y.T. & Yücesan, E. Inventory management under working capital constraints. J Simulation 11, 62–74 (2017). https://doi.org/10.1057/s41273-016-0030-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1057/s41273-016-0030-0

Keywords

Navigation