Abstract
Stored value cards (SVCs) are ubiquitous, but little investigation has been undertaken into actual and desired replenishment behaviour, or the economic impact of card consolidation on consumers and service providers (such as retailers and public transit authorities). We develop classic and joint replenishment economic order quantity models for reloadable SVCs where the card value may be lost, for example, through theft or breakage. We extend the models to consider potential benefits of discounts, and providing refunds upon card loss (via external recording of card value). We also show how SVC consolidation and service expansion decisions can benefit consumers and service providers. As a case study, we utilise the Beijing subway system ‘YiKaTong’ card to demonstrate cost optimisation at the consumer and enterprise level. Direct observations of recharging and a survey suggest that commuters take the likelihood of card loss into account and are risk averse. The results of the work help to explain and predict consumer recharge behaviour, and should assist service providers evaluating decisions relating to their market scope, technology, pricing, and service capacity. public transport; inventory control; Joint replenishment; card consolidation; personal operational research; purchasing behaviour; implied value of time Data distribution of recharge point and recharge amount (292 recharges). Main effects of problem parameters on the optimum consumer recharge value, q*.Note: We use d=1200 CNY/year, τ=2.0 minutes, v=1.0 CNY/minute, and κ=1.0/year, for which . The graphs show the impact on q* of varying each of the four parameters in turn. Already a subscriber? Log in now or Register for online access. Members of the Operational Research Society receive access to Journal of the Operational Research Society as part of their membership. Access is available through the Operational Research Society web site.

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