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Brownian Inventory Models with Convex Holding Cost, Part 1: Average-Optimal Controls
16 references·9 citing·40 second hop
Brownian Inventory Models with Convex Holding Cost, Part 1: Average-Optimal Controls (2013)Brownian Inventory Models with Convex Hol…The Economics of Inaction (2008)The Economics of InactionStochastic Integration and Differential Equations (2005)Stochastic Integration and Di…Applied Stochastic Control of Jump Diffusions (2005)Applied Stochastic Control of…Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule (2004)Scheduling Flexible Servers w…Optimal Consumption and Portfolio with Both Fixed and Proportional Transaction Costs (2002)Optimal Consumption and Portf…Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: asymptotic optimality of a threshold policy (2001)Dynamic scheduling of a syste…Heavy traffic resource pooling in parallel‐server systems (1999)Heavy traffic resource poolin…Heavy traffic analysis of a system with parallel servers: asymptotic optimality of discrete-review policies (1998)Heavy traffic analysis of a s…Optimization of the flow of dividends (1995)Optimization of the flow of d…Markov Models & Optimization (1993)Markov Models & OptimizationImpulse Control Method and Exchange Rate (1993)Impulse Control Method and Ex…Kinked Adjustment Costs and Aggregate Dynamics (1990)Kinked Adjustment Costs and A…Brownian Motion and Stochastic Flow Systems. 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References

  • 2005Stochastic Integration and Differential Equations4,594 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 2005Applied Stochastic Control of Jump Diffusions883 cited
  • 1993Markov Models & Optimization861 cited
  • 2004Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule326 cited
  • 1995Optimization of the flow of dividends320 cited
  • 1983Instantaneous Control of Brownian Motion295 cited
  • 2001Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: asymptotic optimality of a threshold policy284 cited
  • 1993Impulse Control Method and Exchange Rate270 cited
  • 2008The Economics of Inaction240 cited
  • 1999Heavy traffic resource pooling in parallel‐server systems238 cited
  • 1983Impulse Control of Brownian Motion234 cited
  • 1990Kinked Adjustment Costs and Aggregate Dynamics227 cited
  • 1978Existence of Optimal Simple Policies for Discounted-Cost Inventory and Cash Management in Continuous Time186 cited
  • 2002Optimal Consumption and Portfolio with Both Fixed and Proportional Transaction Costs185 cited

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  • 1998Heavy traffic analysis of a system with parallel servers: asymptotic optimality of discrete-review policies182 cited
  • Cited by

    • 2016Inventory Control for Spectrally Positive Lévy Demand Processes37 cited
    • 2013Brownian Inventory Models with Convex Holding Cost, Part 2: Discount-Optimal Controls36 cited
    • 2014Inventory Management with Stochastic Lead Times33 cited
    • 2017Optimal Ordering Policy for Inventory Systems with Quantity-Dependent Setup Costs32 cited
    • 2022A survey of stochastic inventory models with fixed costs: Optimality of ( s , S ) and ( s , S )‐type policies—Continuous‐time case28 cited
    • 2015Optimal control policy for a Brownian inventory system with concave ordering cost26 cited
    • 2017Joint pricing and inventory control for a stochastic inventory system with Brownian motion demand21 cited
    • 2017Continuous inventory models of diffusion type: Long-term average cost criterion19 cited
    • 2022Inventory control policy for perishable products under a buyback contract and Brownian demands18 cited