Product Form Solution of a Queuing-Inventory System with Lost Sales and Server Vacation.
Dequan YueYuying ZhangXiuli XuWuyi YuePublished in: J. Syst. Sci. Complex. (2024)
Keyphrases
- lost sales
- product form
- steady state
- holding cost
- single server
- queueing networks
- lead time
- queue length
- inventory level
- state dependent
- inventory systems
- capacity constraints
- inventory models
- stochastic lead times
- multi item
- single stage
- arrival rate
- infinite horizon
- inventory control
- periodic review
- stationary distribution
- optimal policy
- heavy traffic
- single period
- setup cost
- stochastic demand
- single item
- expected cost
- long run
- total cost
- special case
- finite horizon
- base stock policies
- lot sizing
- markov decision processes
- parallel machines
- supply chain
- multistage
- optimal solution
- lagrangian relaxation
- planning horizon
- service times
- production cost