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技术说明:约束条件中有什么?关于标准延迟目标模糊性的探讨

Technical Note—What’s in a Constraint? On the Ambiguity of Standard Delay Targets

Operations Research · 2025
被引 0
人大 AFT50UTD24ABS 4*

中文导读

研究了平均应答速度(ASA)作为服务约束时存在的模糊性,指出不同优先级策略可能对应不同的客户时间价值假设,并提出通过最小化分流加权指数来消除模糊性。

Abstract

Ambiguities in Average Speed of Answer Targets Staffing problems are often formulated as satisfization problems, in which the cost of servers is minimized subject to quality of service constraints. These constraints are intended to capture customers’ disutility from waiting or, at least, its structure. In “What’s in a constraint? On the ambiguity of standard delay targets,” Soh and Gurvich show that such targets—especially the popular average speed of answer—are ambiguous: they give rise to multiple optimal solutions (prioritization policies), each consistent with different assumptions about how customers value their time. By choosing, among all optimal solutions, the one that minimizes a weighted index of diversion (a generalization of variance for the multiclass queue), a service provider can ensure that its ASA-based staffing and prioritization decisions align with a convex model of customer delay disutility. Nonambiguity can also be enforced by restricting attention to fixed queue ratio priority policies.

运营管理排队论服务运营数学优化