Problem Solving — Fundamental Concepts

Fundamental Concepts

Separate the observed problem from a causal hypothesis and a proposed intervention. A long queue is an observation; insufficient staff is one possible cause; recruitment is one possible response. Repeated checks, uneven arrivals or process failures might also explain the delay. A useful diagnosis identifies which evidence could distinguish these possibilities.

In the original service-centre example, arrivals of 24 per hour exceed completions of 18 per hour. With steady rates and no initial queue, the backlog grows by six each hour and reaches eighteen after three hours. This establishes a capacity gap under the stated conditions, but does not by itself prove that hiring is the best remedy. Costs, staff availability and avoidable repeated work remain relevant.

Distinguish hard constraints from preferences. A lawful response required within two days cannot be replaced by a month-long recruitment plan, even if that plan has strong future benefits. Compare feasible alternatives on common criteria such as delay reduction, cost, accessibility and implementation time. Check whether combined interventions overlap or compete for the same resource.

Evaluate results against the actual objective. Lower average waiting time may conceal severe delays for one group, while higher throughput may come with more errors. A pilot can provide useful evidence, but changing demand or case mix can confound its apparent effect. State what the observed improvement establishes and what remains uncertain.